8.4x-5y=k,2x-3y=12

Find the value of k for which the following system of equations has a unique solution: 4x-5y=k,quad 2x-3y=12

The minimum value of p for which the lines 3x-4y=2, 3x-4y=12, 12x+5y=7 and 12x+5y=p constitute the sides of a rhombus is

The minimum value of p for which the lines 3x-4y=2, 3x-4y=12, 12x+5y=7 and 12x+5y=p constitute the sides of a rhombus is

The maximum value of p for which the lines 3x-4y=2, 3x-4y=12, 12x+5y=7 and 12x+5y=p constitute the sides of a rhombous is

Find the equation of the bisectors of the internal angles of the triangle whose sides are : 3x+4y-6=0 , 12x-5y-3=0 , 4x-3y+12=0

Prove that the point (2,2) is equidistant from the three straight lines 4x+3y-4=0,12x-5y+12=0and3x-4y=8.

Find the value of k for which the following system of equations has a unique solution: 4x-5y=k ,\ \ \ \ 2x-3y=12

4x -5y-11z=12,. x-3y+z=1 2x + 3y-7z = 2